3205325200 has 180 divisors, whose sum is σ = 9773093232. Its totient is φ = 998995200.

The previous prime is 3205325173. The next prime is 3205325203. The reversal of 3205325200 is 25235023.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3205325203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208167 + ... + 223033.

Almost surely, 2^3205325200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3205325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886546616).

3205325200 is an abundant number, since it is smaller than the sum of its proper divisors (6567768032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3205325200 is a wasteful number, since it uses less digits than its factorization.

3205325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14910 (or 14892 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 3205325200 is about 56615.5914920969. The cubic root of 3205325200 is about 1474.4295716314.

The spelling of 3205325200 in words is "three billion, two hundred five million, three hundred twenty-five thousand, two hundred".